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Finding the Fourth Proportional to 13,393.78, 20,099.75 and 5,497.72

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Solution

The fourth proportional to 13,393.78, 20,099.75 and 5,497.72 is: 8,250.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,393.78 : 20,099.75 = 5,497.72 : x
  2. Step 2: Convert to fraction form
    13,393.78/20,099.75 = 5,497.72/x
  3. Step 3: Cross multiply
    13,393.78x = 20,099.75 × 5,497.72
  4. Step 4: Simplify right side
    13,393.78x = 110,502,719.83
  5. Step 5: Solve for x
    x = 110,502,719.83/13,393.78
  6. Step 6: Final answer
    x = 8,250.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.